The authors of a research article used a paired samples t test to reach the conclusion that male college students tend to over-report both weight and height. This conclusion was based on a sample of 635 male college students selected from eight different universities. The sample mean difference between the reported weight and actual measured weight was 1.3 pounds and the standard deviation of the differences was 5.75 pounds. For purposes of this exercise, you can assume that the sample was representative of male college students. Required:
Carry out a hypothesis test to determine if there is a significant difference in the mean reported weight and the mean actual weight for male college students.